Answer:
Then the desired equation is y = -2x - 6.
Step-by-step explanation:
As we move from point (-3, 0) to point (0, -6), x increases by 3 and y decreases by 6. Thus, the slope of the line segment connecting these two points is m = rise / run = -6/3 = -2.
Now use the slope-intercept equation of a straight line to determine the y-intercept of this line:
y = mx + b becomes 0 = -2(-3) + b, so that b = -6.
Then the desired equation is y = -2x - 6.
Check: Does (0, -6) satisfy y = -2x - 6? Is -6 = -2(0) - 6 true? YES
Answer:
b) 94
Step-by-step explanation:
The Total Degree of a Triangle is 180 degrees. Knowing this, set up an equation.
68+26+x=180.
x is the complementary angle of the "?" angle.
Solve the equation.
94+x=180
x=86
Then Subtract 86 from 180 to find "?"
180-86=94
I hope this helps!
Zero because -12 does not equal 12
Answer:
x is 48.59
Step-by-step explanation:
sin(x)=0.75------problem
1)you need to get x alone, so inverse
x=sin^-1 (0.75)
2)plug into calculator!
Answer:
Comparing each pair of lines,
AB and EF,
BC and FG,
CD and GH,
DA and HE.
For, AB and EF,
If we take a look at both the lines they are the mirror image of each other, the distance between point A and B is 1 unit upwards, and 2 unit sidewise, similarly between point E and F the distance is 1 unit upwards, and 2 unit sidewise. therefore, the length of both the lines is the same.
Also, we can use the formula, for the distance between two points on a coordinate plane,
,
As we can see in the image,
A = (-1, 1),
B = (-3, 2),
C = (-4, 4),
D = (-2, 6),
E = (2, 0),
F = (4, 1),
G = (5, 3),
H = (3, 5),
Solving using the formula,
AB = EF = √5,
BC = FG = √5,
CD = GH = √8,
DA = HE = √26,
Therefore, the length of all the sides of the polygon are the same,
Hence, the two figures are congruent.
Step-by-step explanation:
